Math

QuestionFind the length of a rectangular window with a perimeter of 288 cm and a width of 65 cm. Length: cm\mathrm{cm}

Studdy Solution

STEP 1

Assumptions1. The perimeter of the rectangle is288 cm. The width of the rectangle is65 cm3. The formula for the perimeter of a rectangle is ×(length+width) \times (length + width)

STEP 2

We need to find the length of the rectangle. We can do this by rearranging the formula for the perimeter of a rectangle to solve for length.
length=Perimeter2widthlength = \frac{Perimeter}{2} - width

STEP 3

Now, plug in the given values for the perimeter and width to calculate the length.
length=288cm265cmlength = \frac{288\, cm}{2} -65\, cm

STEP 4

Calculate the value inside the bracket.
length=144cm65cmlength =144\, cm -65\, cm

STEP 5

Calculate the length of the rectangle.
length=144cm65cm=79cmlength =144\, cm -65\, cm =79\, cmThe length of the window is79 cm.

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